What is the Least Common Multiple of 92280 and 92288?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 92280 and 92288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92280 and 92288, than apply into the LCM equation.

GCF(92280,92288) = 8
LCM(92280,92288) = ( 92280 × 92288) / 8
LCM(92280,92288) = 8516336640 / 8
LCM(92280,92288) = 1064542080

Least Common Multiple (LCM) of 92280 and 92288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92280 and 92288. First we will calculate the prime factors of 92280 and 92288.

Prime Factorization of 92280

Prime Factorization of 92288

Now multiplying the highest exponent prime factors to calculate the LCM of 92280 and 92288.

LCM(92280,92288) = 2⁷ × 3¹ × 5¹ × 769¹ × 7¹ × 103¹
LCM(92280,92288) = 1064542080